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Simplifying (3x2 + -4xy) * dy + -1(4xy2) * dx = 0 Reorder the terms: (-4xy + 3x2) * dy + -1(4xy2) * dx = 0 Reorder the terms for easier multiplication: dy(-4xy + 3x2) + -1(4xy2) * dx = 0 (-4xy * dy + 3x2 * dy) + -1(4xy2) * dx = 0 (-4dxy2 + 3dx2y) + -1(4xy2) * dx = 0 Remove parenthesis around (4xy2) -4dxy2 + 3dx2y + -1 * 4xy2 * dx = 0 Multiply -1 * 4 -4dxy2 + 3dx2y + -4xy2 * dx = 0 Multiply xy2 * dx -4dxy2 + 3dx2y + -4dx2y2 = 0 Solving -4dxy2 + 3dx2y + -4dx2y2 = 0 Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Factor out the Greatest Common Factor (GCF), 'dxy'. dxy(-4y + 3x + -4xy) = 0Subproblem 1
Set the factor 'dxy' equal to zero and attempt to solve: Simplifying dxy = 0 Solving dxy = 0 Move all terms containing d to the left, all other terms to the right. Simplifying dxy = 0 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 2
Set the factor '(-4y + 3x + -4xy)' equal to zero and attempt to solve: Simplifying -4y + 3x + -4xy = 0 Reorder the terms: 3x + -4xy + -4y = 0 Solving 3x + -4xy + -4y = 0 Move all terms containing d to the left, all other terms to the right. Add '-3x' to each side of the equation. 3x + -4xy + -3x + -4y = 0 + -3x Reorder the terms: 3x + -3x + -4xy + -4y = 0 + -3x Combine like terms: 3x + -3x = 0 0 + -4xy + -4y = 0 + -3x -4xy + -4y = 0 + -3x Remove the zero: -4xy + -4y = -3x Add '4xy' to each side of the equation. -4xy + 4xy + -4y = -3x + 4xy Combine like terms: -4xy + 4xy = 0 0 + -4y = -3x + 4xy -4y = -3x + 4xy Add '4y' to each side of the equation. -4y + 4y = -3x + 4xy + 4y Combine like terms: -4y + 4y = 0 0 = -3x + 4xy + 4y Simplifying 0 = -3x + 4xy + 4y The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.
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